Finding the Fourth Proportional to 455,423,993,982.80, 682,998,454,043.36 and 136,985,659,266
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Solution
The fourth proportional to 455,423,993,982.80, 682,998,454,043.36 and 136,985,659,266 is: 205,437,119,565.38
Step by Step Solution
- Step 1: Write the proportion equation
455,423,993,982.80 : 682,998,454,043.36 = 136,985,659,266 : x - Step 2: Convert to fraction form
455,423,993,982.80/682,998,454,043.36 = 136,985,659,266/x - Step 3: Cross multiply
455,423,993,982.80x = 682,998,454,043.36 × 136,985,659,266 - Step 4: Simplify right side
455,423,993,982.80x = 93,560,993,504,788,465,319,936 - Step 5: Solve for x
x = 93,560,993,504,788,465,319,936/455,423,993,982.80 - Step 6: Final answer
x = 205,437,119,565.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.